The technical efficiency measures the ability that a system offers at maximizing the result restricted to budgetary restrictions. This article offers formal methods to quantify the technical efficiency in health systems and the influences of organizational structures and internal processes in the observed technical efficiency are also analyzed. The empirical analysis is focused on the quality of donation and transplant services. The results show a positive relationship between the levels related to quality indicators and the observed technical efficiency in the donation and transplant units of the 11 analyzed hospitals. This way it is possible to conclude that high levels in the quality indexes are a necessary condition to reach an increased level of the service offered.